1/2x+3=4-x

Solution for 1/2x+3=4-x equation:

1/2x+3=4-x

We move all terms to the left:

1/2x+3-(4-x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

1/2x-(-1x+4)+3=0

We get rid of parentheses

1/2x+1x-4+3=0

We multiply all the terms by the denominator


1x*2x-4*2x+3*2x+1=0

Wy multiply elements

2x^2-8x+6x+1=0

We add all the numbers together, and all the variables

2x^2-2x+1=0

a = 2; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·2·1
Δ = -4
Delta is less than zero, so there is no solution for the equation